{"id":"https://openalex.org/W4254261567","doi":"https://doi.org/10.1109/visual.2005.1532839","title":"Topology-based Simplification for Feature Extraction from 3D Scalar Fields","display_name":"Topology-based Simplification for Feature Extraction from 3D Scalar Fields","publication_year":2006,"publication_date":"2006-10-11","ids":{"openalex":"https://openalex.org/W4254261567","doi":"https://doi.org/10.1109/visual.2005.1532839"},"language":"en","primary_location":{"id":"doi:10.1109/visual.2005.1532839","is_oa":false,"landing_page_url":"https://doi.org/10.1109/visual.2005.1532839","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"VIS 05. IEEE Visualization, 2005.","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047677160","display_name":"Attila Gyulassy","orcid":"https://orcid.org/0000-0002-6046-8022"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Gyulassy","raw_affiliation_strings":["Institute for Data Analysis and Visualization, University of California, Davis"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Data Analysis and Visualization, University of California, Davis","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083989376","display_name":"Vijay Natarajan","orcid":"https://orcid.org/0000-0002-7956-1470"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. Natarajan","raw_affiliation_strings":["Institute for Data Analysis and Visualization, University of California, Davis"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Data Analysis and Visualization, University of California, Davis","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009460413","display_name":"Valerio Pascucci","orcid":"https://orcid.org/0000-0002-8877-2042"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. Pascucci","raw_affiliation_strings":["Institute for Data Analysis and Visualization, University of California, Davis"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Data Analysis and Visualization, University of California, Davis","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019902487","display_name":"Peer\u2010Timo Bremer","orcid":"https://orcid.org/0000-0003-4107-3831"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P.-T. Bremer","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5077191719","display_name":"Bernd Hamann","orcid":"https://orcid.org/0000-0002-3579-5005"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B. Hamann","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"535","last_page":"542"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-morse-theory","display_name":"Discrete Morse theory","score":0.7918301820755005},{"id":"https://openalex.org/keywords/morse-theory","display_name":"Morse theory","score":0.7683034539222717},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.6903101801872253},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6425564289093018},{"id":"https://openalex.org/keywords/computational-topology","display_name":"Computational topology","score":0.619648814201355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5865980386734009},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5606327652931213},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5454843044281006},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5241289734840393},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.5006551742553711},{"id":"https://openalex.org/keywords/morse-code","display_name":"Morse code","score":0.4807974398136139},{"id":"https://openalex.org/keywords/scalar-field","display_name":"Scalar field","score":0.4164761006832123},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35366055369377136},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32319340109825134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3116494417190552},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.19870677590370178},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16101157665252686},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10439231991767883},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07595518231391907}],"concepts":[{"id":"https://openalex.org/C170315498","wikidata":"https://www.wikidata.org/wiki/Q5282039","display_name":"Discrete Morse theory","level":3,"score":0.7918301820755005},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.7683034539222717},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.6903101801872253},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6425564289093018},{"id":"https://openalex.org/C181576044","wikidata":"https://www.wikidata.org/wiki/Q4129926","display_name":"Computational topology","level":3,"score":0.619648814201355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5865980386734009},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5606327652931213},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5454843044281006},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5241289734840393},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.5006551742553711},{"id":"https://openalex.org/C140031139","wikidata":"https://www.wikidata.org/wiki/Q79897","display_name":"Morse code","level":2,"score":0.4807974398136139},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.4164761006832123},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35366055369377136},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32319340109825134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3116494417190552},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.19870677590370178},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16101157665252686},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10439231991767883},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07595518231391907},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/visual.2005.1532839","is_oa":false,"landing_page_url":"https://doi.org/10.1109/visual.2005.1532839","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"VIS 05. IEEE Visualization, 2005.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320332564","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69"},{"id":"https://openalex.org/F4320337346","display_name":"National Institute of Mental Health","ror":"https://ror.org/04xeg9z08"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W181053014","https://openalex.org/W1578998830","https://openalex.org/W1974028248","https://openalex.org/W1980124684","https://openalex.org/W2014719297","https://openalex.org/W2020428772","https://openalex.org/W2050439505","https://openalex.org/W2068014716","https://openalex.org/W2083586903","https://openalex.org/W2123207641","https://openalex.org/W2142767916","https://openalex.org/W2145347746","https://openalex.org/W2145989037","https://openalex.org/W2235901111","https://openalex.org/W2293404936","https://openalex.org/W3013843370","https://openalex.org/W3143140022","https://openalex.org/W3148445830","https://openalex.org/W4248931898","https://openalex.org/W6607341169","https://openalex.org/W6634762012","https://openalex.org/W6650121407"],"related_works":["https://openalex.org/W2037435271","https://openalex.org/W1595332435","https://openalex.org/W2185671344","https://openalex.org/W4389768470","https://openalex.org/W3104241874","https://openalex.org/W4225929853","https://openalex.org/W3214553362","https://openalex.org/W4254261567","https://openalex.org/W4288373924","https://openalex.org/W3128574906"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4,99],"a":[5,32,50,56,66,100],"topological":[6,51,76],"approach":[7],"for":[8,93],"simplifying":[9],"continuous":[10],"functions":[11],"defined":[12],"on":[13],"volumetric":[14],"domains.":[15],"We":[16,97],"introduce":[17],"two":[18],"atomic":[19],"operations":[20],"that":[21,35,54],"remove":[22],"pairs":[23],"of":[24,27,43,59,65,102],"critical":[25,63,86],"points":[26,64,69,87],"the":[28,37,72,103],"function":[29],"and":[30,78,89],"design":[31],"combinatorial":[33],"algorithm":[34],"simplifies":[36],"Morse-Smale":[38,47,73],"complex":[39,48,74],"by":[40,71],"repeated":[41],"application":[42],"these":[44],"operations.":[45],"The":[46,81],"is":[49,90],"data":[52],"structure":[53],"provides":[55],"compact":[57],"representation":[58],"gradient":[60],"flow":[61],"between":[62],"function.":[67],"Critical":[68],"paired":[70],"identify":[75],"features":[77],"their":[79],"importance.":[80],"simplification":[82],"procedure":[83],"leaves":[84],"important":[85],"untouched,":[88],"therefore":[91],"useful":[92],"extracting":[94],"desirable":[95],"features.":[96],"also":[98],"visualization":[101],"simplified":[104],"topology.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":8}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
